No, there is no notice of a site review. The reasons for this OUGHT to be obvious to even the most casual observer of the net, and ARE painfully obvious to any experienced editor.
For the vast majority of sites, creating the notice would take more time than reviewing the site, thus reducing editor productivity by more than 50%.
For a not insignificant minority of sites, sending the
notice would physically endanger the editor.
For 80-90% of submittals, and probably about the same percentage of sites, the information would go directly to active spammers, who would use it to spam the ODP more effectively -- the potential risks of productivity loss here are incalculable but could be greater than any other kind of harm to the directory I've ever been able to imagine.
And for about 9999 out of 10000 sites, the notice would serve no practical good to an honest webmaster, even if it WENT to the webmaster rather than the submitter.
For a significant number of sites where we THINK the site could be improved, the webmaster isn't interested or isn't able to do anything anyway.
And, of course, we tried it (in the relative safety of this forum.) Anyone can see the results: well, most of the results: the forum archives contains some of the milder reactions we got -- the really vicious ones were deleted and/or turned over to the police. Anyone can also see how seldom the information was useful.
It's a really really really bad idea.